{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting gradient descent at b = 0, w = 0, error = 5565.107834483211\n",
      "Running...\n",
      "After 1000 iterations b = 0.08893651993741346, w = 1.4777440851894448, error = 112.61481011613473\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# y = wx + b\n",
    "def compute_error_for_line_given_points(b, w, points):\n",
    "    totalError = 0\n",
    "    for i in range(0, len(points)):\n",
    "        x = points[i, 0]\n",
    "        y = points[i, 1]\n",
    "        # computer mean-squared-error\n",
    "        totalError += (y - (w * x + b)) ** 2\n",
    "    # average loss for each point\n",
    "    return totalError / float(len(points))\n",
    "\n",
    "\n",
    "\n",
    "def step_gradient(b_current, w_current, points, learningRate):\n",
    "    b_gradient = 0\n",
    "    w_gradient = 0\n",
    "    N = float(len(points))\n",
    "    for i in range(0, len(points)):\n",
    "        x = points[i, 0]\n",
    "        y = points[i, 1]\n",
    "        # grad_b = 2(wx+b-y)\n",
    "        b_gradient += (2/N) * ((w_current * x + b_current) - y)\n",
    "        #print('b_gradient:',b_gradient)\n",
    "        # grad_w = 2(wx+b-y)*x\n",
    "        w_gradient += (2/N) * x * ((w_current * x + b_current) - y)\n",
    "        #print('w_gradient:',w_gradient)\n",
    "    # update w'\n",
    "    new_b = b_current - (learningRate * b_gradient)\n",
    "    new_w = w_current - (learningRate * w_gradient)\n",
    "    \n",
    "    #print(\"err={0}\",compute_error_for_line_given_points(new_b,new_w,points));\n",
    "    \n",
    "    return [new_b, new_w]\n",
    "\n",
    "def gradient_descent_runner(points, starting_b, starting_w, learning_rate, num_iterations):\n",
    "    b = starting_b\n",
    "    w = starting_w\n",
    "    # update for several times\n",
    "    for i in range(num_iterations):\n",
    "        b, w = step_gradient(b, w, np.array(points), learning_rate)\n",
    "    return [b, w]\n",
    "\n",
    "\n",
    "def run():\n",
    "\t\n",
    "    points = np.genfromtxt(\"data.csv\", delimiter=\",\")\n",
    "    plt.scatter(points[:,0],points[:,1])  #[[x0,y0][x1,y1]]    #point numpy 二维数组取某一列\n",
    "    #plt.show()\n",
    "    learning_rate = 0.0001\n",
    "    initial_b = 0 # initial y-intercept guess\n",
    "    initial_w = 0 # initial slope guess\n",
    "    num_iterations = 1000\n",
    "    print(\"Starting gradient descent at b = {0}, w = {1}, error = {2}\"\n",
    "          .format(initial_b, initial_w,\n",
    "                  compute_error_for_line_given_points(initial_b, initial_w, points))\n",
    "          )\n",
    "    print(\"Running...\")\n",
    "    [b, w] = gradient_descent_runner(points, initial_b, initial_w, learning_rate, num_iterations)\n",
    "    print(\"After {0} iterations b = {1}, w = {2}, error = {3}\".\n",
    "          format(num_iterations, b, w,\n",
    "                 compute_error_for_line_given_points(b, w, points))\n",
    "          )\n",
    "    px = np.arange(0,100,0.1);\n",
    "    pw = w\n",
    "    pb = b\n",
    "    py = px*w+b;\n",
    "    plt.plot(px,py)\n",
    "    plt.show()\n",
    "    \n",
    "\n",
    "\n",
    "if __name__ == '__main__':\n",
    "    run()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(100, 100)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "#  这样的目的画成一个\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    " \n",
    " \n",
    "x = np.arange(-5, 5, 0.1)\n",
    "y = np.arange(-5, 5, 0.1)\n",
    "xx, yy = np.meshgrid(x, y )  # 转换成二维的矩阵坐标\n",
    "\n",
    " \n",
    "fig = plt.figure(1, figsize=(12, 8))\n",
    "zz =  (xx**2 + yy**2)\n",
    "print(zz.shape)\n",
    "ax = fig.add_subplot(2, 2, 1, projection='3d')\n",
    "ax.set_top_view()\n",
    " \n",
    "ax.plot_surface(xx, yy, zz, rstride=1, cstride=1, cmap='rainbow')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 166,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(2, 3)\n",
      "(1, 3)\n",
      "(2, 1)\n",
      "[[1]\n",
      " [1]]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([[0, 3, 6],\n",
       "       [0, 3, 6]])"
      ]
     },
     "execution_count": 166,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = np.array([[0,1],[0,2]])\n",
    "a[:,1]\n",
    "b = np.array([[0,1,2],[0,1,2]])\n",
    "c =np.array([[2,1,0]])\n",
    "print(b.shape)\n",
    "print(c.shape)\n",
    "d = np.dot(b,c.T)\n",
    "print(d.shape)\n",
    "print(d)\n",
    "\n",
    "e = 3\n",
    "f = np.dot(b,e)\n",
    "f\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 227,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "len 100\n",
      "w[1] 0.02\n",
      "loss 73668.01924423852\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Z: [[556510.78344832 541869.0159487  527426.52534421 ...  64092.55969383\n",
      "   68780.65102147  73668.01924424]\n",
      " [556510.79344832 541869.0259487  527426.53534421 ...  64092.56969383\n",
      "   68780.66102147  73668.02924424]\n",
      " [556510.80344832 541869.0359487  527426.54534421 ...  64092.57969383\n",
      "   68780.67102147  73668.03924424]\n",
      " ...\n",
      " [556511.75344832 541869.9859487  527427.49534421 ...  64093.52969383\n",
      "   68781.62102147  73668.98924424]\n",
      " [556511.76344832 541869.9959487  527427.50534421 ...  64093.53969383\n",
      "   68781.63102147  73668.99924424]\n",
      " [556511.77344832 541870.0059487  527427.51534421 ...  64093.54969383\n",
      "   68781.64102147  73669.00924424]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    " points = np.genfromtxt(\"data.csv\", delimiter=\",\")\n",
    "x = points[:,0]\n",
    "xx = np.asarray(x)\n",
    "xlen = len(xx)\n",
    "print('len',len(xx))\n",
    "y = points[:,1]\n",
    "y = np.asarray(y)\n",
    "w = np.arange(0.0,2.0,0.02)\n",
    "wx = w.copy()\n",
    "b = np.arange(0.0,1.0,0.01)\n",
    "\n",
    "print('w[1]',w[1])\n",
    "#print('xx',xx)\n",
    "#print('xxw[1]',np.dot(w[1],x.T))\n",
    "loss = np.sum((np.dot(w[i],x)-y)**2)\n",
    "print('loss',loss)\n",
    "\n",
    "for i in range(len(xx)):\n",
    "   w[i] = np.sum((np.dot(w[i],x)-y)**2)\n",
    "#print(w)\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "plt.plot(wx,w)\n",
    "plt.show()\n",
    "\n",
    "W, B = np.meshgrid(wx, b)\n",
    "w = np.asarray(w).reshape(1,-1)\n",
    "Z = w\n",
    "Z = Z+B\n",
    "\n",
    "#print (W)\n",
    "#print (B)\n",
    "print('Z:',Z) \n",
    "\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "fig = plt.figure()\n",
    "ax = Axes3D(fig)\n",
    "ax.plot_surface(W, B, Z, rstride=1, cstride=1, cmap='rainbow')\n",
    "#plt.scatter(w,b,loss)\n",
    "plt.show()\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
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